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Simplifying 4x + 3(x + -2) = -1(5x + -20) Reorder the terms: 4x + 3(-2 + x) = -1(5x + -20) 4x + (-2 * 3 + x * 3) = -1(5x + -20) 4x + (-6 + 3x) = -1(5x + -20) Reorder the terms: -6 + 4x + 3x = -1(5x + -20) Combine like terms: 4x + 3x = 7x -6 + 7x = -1(5x + -20) Reorder the terms: -6 + 7x = -1(-20 + 5x) -6 + 7x = (-20 * -1 + 5x * -1) -6 + 7x = (20 + -5x) Solving -6 + 7x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 7x + 5x = 20 + -5x + 5x Combine like terms: 7x + 5x = 12x -6 + 12x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 12x = 20 + 0 -6 + 12x = 20 Add '6' to each side of the equation. -6 + 6 + 12x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 20 + 6 12x = 20 + 6 Combine like terms: 20 + 6 = 26 12x = 26 Divide each side by '12'. x = 2.166666667 Simplifying x = 2.166666667
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